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Finding the Fourth Proportional to 5,902.56, 8,854.80 and 2,824.56

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Solution

The fourth proportional to 5,902.56, 8,854.80 and 2,824.56 is: 4,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.56 : 8,854.80 = 2,824.56 : x
  2. Step 2: Convert to fraction form
    5,902.56/8,854.80 = 2,824.56/x
  3. Step 3: Cross multiply
    5,902.56x = 8,854.80 × 2,824.56
  4. Step 4: Simplify right side
    5,902.56x = 25,010,913.89
  5. Step 5: Solve for x
    x = 25,010,913.89/5,902.56
  6. Step 6: Final answer
    x = 4,237.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.